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Finding the Fourth Proportional to 449,705.94, 620,657.49 and 286,310.25

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Solution

The fourth proportional to 449,705.94, 620,657.49 and 286,310.25 is: 395,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,705.94 : 620,657.49 = 286,310.25 : x
  2. Step 2: Convert to fraction form
    449,705.94/620,657.49 = 286,310.25/x
  3. Step 3: Cross multiply
    449,705.94x = 620,657.49 × 286,310.25
  4. Step 4: Simplify right side
    449,705.94x = 177,700,601,126.27
  5. Step 5: Solve for x
    x = 177,700,601,126.27/449,705.94
  6. Step 6: Final answer
    x = 395,148.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.